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arXiv · 0803.0622

Positivity of cotangent bundles

Kelly Jabbusch
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Abstract

In this paper we prove a generalization of a theorem of Schneider, which gives a criterion for a projective surface over the complex numbers to have an ample cotangent bundle. After reviewing different notions of positivity, we introduce a slightly weaker notion of ampleness, which we call quasi-ample, and then are able to extend Schneider's result to higher dimensions.

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Kelly Jabbusch. 2008-07-24. Positivity of cotangent bundles. https://arxiv.org/abs/0803.0622

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